Exact solution for semi-flexible partially directed walks at an adsorbing wall

Abstract

Recently it was shown that the introduction of stiffness into the model of self-interacting partially directed walks modifies the polymer collapse transition seen from a second-order to a first-order one. Here we consider the effect of stiffness on the adsorption transition. We provide the exact generating function for non-interacting semi-flexible partially directed walks and analyse the solution in detail. We demonstrate that stiffness does not change the order of the adsorption transition, in contrast to its effect on collapse. © 2009 IOP Publishing Ltd.